TITLE:
Dimensional Complexity and Algorithmic Efficiency
AUTHORS:
Alexander Odilon Ngu
KEYWORDS:
Symbolic Intelligence, Dimensional Complexity, Algorithmic Efficiency, Notational Unification, Turing Complete Machine, Unified Theory
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.11 No.1,
March
8,
2022
ABSTRACT: This paper uses the concept of
algorithmic efficiency to present a unified theory of intelligence.
Intelligence is defined informally, formally, and computationally. We introduce
the concept of dimensional complexity in algorithmic efficiency and deduce that an optimally efficient algorithm has zero time complexity, zero space complexity,
and an infinite dimensional complexity. This algorithm is used to
generate the number line.